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Simplifying x2 + 2mx + 3m + -2 = 0 Reorder the terms: -2 + 3m + 2mx + x2 = 0 Solving -2 + 3m + 2mx + x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3m + 2mx + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 3m + 2mx + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3m + 2mx + x2 = 0 + 2 3m + 2mx + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 3m + 2mx + x2 = 2 Add '-1x2' to each side of the equation. 3m + 2mx + x2 + -1x2 = 2 + -1x2 Combine like terms: x2 + -1x2 = 0 3m + 2mx + 0 = 2 + -1x2 3m + 2mx = 2 + -1x2 Reorder the terms: -2 + 3m + 2mx + x2 = 2 + -1x2 + -2 + x2 Reorder the terms: -2 + 3m + 2mx + x2 = 2 + -2 + -1x2 + x2 Combine like terms: 2 + -2 = 0 -2 + 3m + 2mx + x2 = 0 + -1x2 + x2 -2 + 3m + 2mx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -2 + 3m + 2mx + x2 = 0 The solution to this equation could not be determined.
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